Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200bb |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-359437500000000 = -1 · 28 · 34 · 512 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,92,912188] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:600:1] |
Generators of the group modulo torsion |
j |
21296/89859375 |
j-invariant |
L |
6.7467719436984 |
L(r)(E,1)/r! |
Ω |
0.42672356323439 |
Real period |
R |
1.9763297964654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42600o2 17040b2 |
Quadratic twists by: -4 5 |